论文标题
探索旧天体物理物体年龄的哈勃张力和空间曲率
Exploring the Hubble Tension and Spatial Curvature from the Ages of Old Astrophysical Objects
论文作者
论文摘要
我们使用红移范围内的114个旧天体物理对象（OAO）的年龄测量值$ 0 \ Lessim z \ Lessim 8 $ 8 $探索哈勃张力。任何$ z $的宇宙年龄与hubble常数（$ h_0 $）成反比，因此要求宇宙比在任何$ z $上包含的oao都要古老，这将导致$ h_0 $的上限。假设平面$λ$ cdm并在物质密度参数上设置高斯先验，$ω_ {\ rm m} = 0.315 \ pm0.007 $由{\ it planck}告知，我们获得了95 \％置信度的上限$ h_0 <70.6 \ rm} \ rm {〜mpc}^{ - 1} $，代表使用本地距离梯子进行测量的$2σ$张力。但是，我们发现，$ h_ {0} $的推断上限非常敏感地取决于$ω_ {\ rm m m} $，以及$ h_ {0} $的早期测量和本地测量之间的哈勃张力可能部分归因于两种$ω__{本地测量仅使用$ H_ {0} $。年龄偏移数据也可以用于宇宙学模型比较。我们发现$ r _ {\ rm h} = CT $ Universe帐户很好，并且在$ H_ {0} $上具有合理的上限，而Einstein-De Sitter无法通过宇宙时代的测试。最后，我们使用61个星系的年龄和1,048个Pantheon型IA Supernovae表示了空间曲率的模型无关估计。该分析表明，宇宙的几何形状与置信度的空间平坦度略有一致，其置信度为$1.6σ$，其特征为$ω_{k} = 0.43^{+0.27} _ { - 0.27} $。
We use the age measurements of 114 old astrophysical objects (OAO) in the redshift range $0\lesssim z\lesssim 8$ to explore the Hubble tension. The age of the Universe at any $z$ is inversely proportional to the Hubble constant, $H_0$, so requiring the Universe to be older than the OAO it contains at any $z$ will lead to an upper limit on $H_0$. Assuming flat $Λ$CDM and setting a Gaussian prior on the matter density parameter $Ω_{\rm m}=0.315\pm0.007$ informed by {\it Planck}, we obtain a 95\% confidence-level upper limit of $H_0<70.6 \rm{~km} \rm{~s}^{-1} \rm{~Mpc}^{-1}$, representing a $2σ$ tension with the measurement using the local distance ladder. We find, however, that the inferred upper limit on $H_{0}$ depends quite sensitively on the prior for $Ω_{\rm m}$, and the Hubble tension between early-time and local measurements of $H_{0}$ may be due in part to the inference of both $Ω_{\rm m}$ and $H_0$ in {\it Planck}, while the local measurement uses only $H_{0}$. The age-redshift data may also be used for cosmological model comparisons. We find that the $R_{\rm h}=ct$ universe accounts well for the data, with a reasonable upper limit on $H_{0}$, while Einstein-de Sitter fails to pass the cosmic-age test. Finally, we present a model-independent estimate of the spatial curvature using the ages of 61 galaxies and the luminosity distances of 1,048 Pantheon Type Ia supernovae. This analysis suggests that the geometry of the Universe is marginally consistent with spatial flatness at a confidence level of $1.6σ$, characterized as $Ω_{k}=0.43^{+0.27}_{-0.27}$.
